Greatest Common Factor of 3972 and 3975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3972, 3975 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3972 and 3975 is 3.

GCF(3972,3975) = 3

GCF of 3972 and 3975

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3972 and 3975

GCF of 3972 and 3975 is 3

Prime Factorization of 3972


2 3972
2 1986
3 993
331 331
1

Prime factors of 3972 are 2,3,331. Prime factorization of 3972 in exponential form is:

3972 = 22×31×3311

Prime Factorization of 3975


3 3975
5 1325
5 265
53 53
1

Prime factors of 3975 are 3,5,53. Prime factorization of 3975 in exponential form is:

3975 = 31×52×531

∴ So by taking common prime factors GCF of 3972 and 3975 is 3

Greatest Common Factor of 3972 and 3975 by matching factors method

Factors of 3972

List of positive integer factors of 3972 that divides 3972 without a remainder.

1,2,3,4,6,12,331,662,993,1324,1986,3972

Factors of 3975

List of positive integer factors of 3975 that divides 3975 without a remainder.

1,3,5,15,25,53,75,159,265,795,1325,3975

Greatest Common Factor

We found the factors and prime factorization of 3972 and 3975. The biggest common factor number is the GCF number.
So the greatest common factor 3972 and 3975 is 3.

Also check out the Least Common Multiple of 3972 and 3975

Properties of GCF 3972 and 3975

(i) The GCF of 3972 and 3975 is associative

GCF of 3972 and 3975 = GCF of 3975 and 3972

Related Greatest Common Factor of 3972

Related Greatest Common Factor of 3975

Frequently Asked Questions on GCF of 3972 and 3975

1. What is the GCF of 3972 and 3975?

Answer: GCF of 3972 and 3975 is 3.

2. What are the Factors of 3972?

Answer: Factors of 3972 are 1, 2, 3, 4, 6, 12, 331, 662, 993, 1324, 1986, 3972. There are 12 integers that are factors of 3972. The greatest factor of 3972 is 3972.

3. What are the Factors of 3975?

Answer: Factors of 3975 are 1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975. There are 12 integers that are factors of 3975. The greatest factor of 3975 is 3975.

4. How to Find the GCF of 3972 and 3975?

Answer:

Greatest Common Factor of 3972 and 3975 = 3

Step 1: Find the prime factorization of 3972

3972 = 2 x 2 x 3 x 331

Step 2: Find the prime factorization of 3975

3975 = 3 x 5 x 5 x 53

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 3972 and 3975 is 3